Improved Approximation Algorithms for Metric Max TSP

  • Zhi-Zhong Chen
  • Takayuki Nagoya
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3669)


We present two polynomial-time approximation algorithms for the metric case of the maximum traveling salesman problem. One of them is for directed graphs and its approximation ratio is \(\frac{27}{35}\). The other is for undirected graphs and its approximation ratio is \(\frac{7}{8} - o(1)\). Both algorithms improve on the previous bests.


Approximation Ratio Open Chain Input Graph Critical Pair Colored Edge 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Zhi-Zhong Chen
    • 1
  • Takayuki Nagoya
    • 1
  1. 1.Dept. of Math. Sci.Tokyo Denki Univ.Hatoyama, SaitamaJapan

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